Biking at 12 mph, it takes kristen hour to reach the train station to go to work. kristen then takes the train to work, and it takes another hour for her to get to work when the train travels 24 mph. how far does kristen travel to work?

36 mi

Step-by-step explanation:

Remember that distance = rate times time.

Thus, while biking at 12 mph for 1 hr, Kristen covers

(12 mph)(1 hr), or 12 miles;

While riding the train at 24 mph for 1 hr, she covers 24 mi.

Adding these two results together:  The total distance from home to work is 12 mi + 24 mi = 36 mi

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0